Question

the circumference of a circle is 7π in. find its radius, in inches.

Explanation:

Step1: Recall the formula for circumference

The formula for the circumference of a circle is \(C = 2\pi r\), where \(C\) is the circumference and \(r\) is the radius.

Step2: Substitute the given value into the formula

Given \(C=7\pi\), we substitute into \(C = 2\pi r\): \(7\pi=2\pi r\).

Step3: Solve for \(r\)

Divide both sides of the equation \(7\pi = 2\pi r\) by \(2\pi\).

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Answer:

\(\frac{7}{2}\)